Abstract
In this paper, applications of the discrete Green's function (DGF) in the three-dimensional flnite-difierence time-domain (FDTD) method are presented. The FDTD method on disjoint domains was developed employing DGF to couple the FDTD domains as well as to compute the electromagnetic fleld outside these domains. Hence, source and scatterer are simulated in separate domains and updating of vacuum cells, being of little interest from a user point of view, can be avoided. In the developed method, the fleld radiated by an FDTD domain is computed as a convolution of DGF with equivalent current sources measured over two displaced Huygens surfaces. Therefore, the computed electromagnetic fleld is compatible with the FDTD grid and can be applied as an incident wave in a coupled total- fleld/scattered-fleld domain. In the developed method, the DGF waveforms are truncated using the Hann's window and windowing parameters assuring accuracy of computations are pointed out. The error of the fleld computations varies between i90dB and i40dB depending on the DGF length and excitation waveform. However, if the DGF length is equal to the number of iterations in a simulation, the presented DGF-based techniques return the same results as the direct FDTD method.
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